I'm assuming that 5π3 is in fact 5π/3
convert radian to degrees:
5π / 3 = 5(180°) / 3 = 900° / 3 = 300°
Area of the circle = π r²
A = 3.14 * (6 ft)²
A = 3.14 * 36 ft²
A = 113.04 ft²
Area of the sector:
113.04 ft² * 300°/360° = 94.2 ft²
The area of the sector formed by a central angle measuring 5π/3 radian is 94.2 ft²
If youknow the diameter of the circle, then
Circumference = (π) x (Diameter).
If youknow the radius of the circle, then
Circumference = (π/2) x(radius).
If you know the area of the circle, then
Circumference= 2 √ (π A) .
My solution to the problem is as follows:
EC = 15 ... draw CF = 6 (radius) ...use Pythagorean theorem to find EF.
EF^2 + CF^2 = EC^2
EF^2 = 15^2 - 6^2 = 189 .... EF = sq root 189
triangle GDE is similar to CFE ... thus proportional
GD / ED = CF / EF
GD / 18 = 6 / (sq root 189)
<span>GD = 108 / (sq root 189)
I hope my answer has come to your help. God bless and have a nice day ahead!
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Answer:
Angle 1=66
Step-by-step explanation:
Step 1, solve for angle 2
<2+123=180 degrees
Angle 2=57 degrees
Step 2, solve for angle 1
Since this is an isosceles triangle, to solve for angle 1, the equation is 2(57)+x=180
Angle 1=66 degrees
